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anonymous
 one year ago
Determine whether the vectors u and v are parallel, orthogonal, or neither.
u = <7, 2>, v = <21, 6>
anonymous
 one year ago
Determine whether the vectors u and v are parallel, orthogonal, or neither. u = <7, 2>, v = <21, 6>

This Question is Closed

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0let u and v be two vectors they are orthogonal if and only if u dot v = 0  they are parallel if and only if v = k*u where k is some scalar

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok so how do i find u dot v

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0u = <a,b> v = <c,d> u dot v = a*c + b*d the * means multiplication between two scalars u,v are vectors a,b,c,d are scalars

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0example u = <2,3> v = <7,9> u dot v = 2*7 + 3*9 = 14 + 27 = 41

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0"dot" refers to the dot product of two vectors

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok so for my problem u dot v = 159.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0since that result isn't 0, the vectors aren't orthogonal

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0How would I determine if they are parallel or not?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0can you find some scalar k that makes v = k*u true?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0does k = 5 make v = k*u true? ie is v = 5*u true?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0Alternate method Let u = <a,b> v = <c,d> u and v are parallel if and only if a/c = b/d is true

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay I got 7/ 21 = 2/6 so they are parallel, thanks!

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0yep they are parallel
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